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PowellOptimizer (Commons Math 3.2 API)
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org.apache.commons.math3.optim.nonlinear.scalar.noderiv</FONT>
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Class PowellOptimizer</H2>
<PRE>
<A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</A>
  <IMG SRC="../../../../../../../../resources/inherit.gif" ALT="extended by "><A HREF="../../../../../../../../org/apache/commons/math3/optim/BaseOptimizer.html" title="class in org.apache.commons.math3.optim">org.apache.commons.math3.optim.BaseOptimizer</A>&lt;PAIR&gt;
      <IMG SRC="../../../../../../../../resources/inherit.gif" ALT="extended by "><A HREF="../../../../../../../../org/apache/commons/math3/optim/BaseMultivariateOptimizer.html" title="class in org.apache.commons.math3.optim">org.apache.commons.math3.optim.BaseMultivariateOptimizer</A>&lt;<A HREF="../../../../../../../../org/apache/commons/math3/optim/PointValuePair.html" title="class in org.apache.commons.math3.optim">PointValuePair</A>&gt;
          <IMG SRC="../../../../../../../../resources/inherit.gif" ALT="extended by "><A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/MultivariateOptimizer.html" title="class in org.apache.commons.math3.optim.nonlinear.scalar">org.apache.commons.math3.optim.nonlinear.scalar.MultivariateOptimizer</A>
              <IMG SRC="../../../../../../../../resources/inherit.gif" ALT="extended by "><B>org.apache.commons.math3.optim.nonlinear.scalar.noderiv.PowellOptimizer</B>
</PRE>
<HR>
<DL>
<DT><PRE>public class <B>PowellOptimizer</B><DT>extends <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/MultivariateOptimizer.html" title="class in org.apache.commons.math3.optim.nonlinear.scalar">MultivariateOptimizer</A></DL>
</PRE>

<P>
Powell's algorithm.
 This code is translated and adapted from the Python version of this
 algorithm (as implemented in module <code>optimize.py</code> v0.5 of
 <em>SciPy</em>).
 <br/>
 The default stopping criterion is based on the differences of the
 function value between two successive iterations. It is however possible
 to define a custom convergence checker that might terminate the algorithm
 earlier.
 <br/>
 The internal line search optimizer is a <A HREF="../../../../../../../../org/apache/commons/math3/optim/univariate/BrentOptimizer.html" title="class in org.apache.commons.math3.optim.univariate"><CODE>BrentOptimizer</CODE></A> with a
 convergence checker set to <A HREF="../../../../../../../../org/apache/commons/math3/optim/univariate/SimpleUnivariateValueChecker.html" title="class in org.apache.commons.math3.optim.univariate"><CODE>SimpleUnivariateValueChecker</CODE></A>.
 <br/>
 Constraints are not supported: the call to
 <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/MultivariateOptimizer.html#optimize(org.apache.commons.math3.optim.OptimizationData...)"><CODE>optimize</CODE></A> will throw
 <A HREF="../../../../../../../../org/apache/commons/math3/exception/MathUnsupportedOperationException.html" title="class in org.apache.commons.math3.exception"><CODE>MathUnsupportedOperationException</CODE></A> if bounds are passed to it.
 In order to impose simple constraints, the objective function must be
 wrapped in an adapter like
 <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/MultivariateFunctionMappingAdapter.html" title="class in org.apache.commons.math3.optim.nonlinear.scalar"><CODE>MultivariateFunctionMappingAdapter</CODE></A> or
 <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/MultivariateFunctionPenaltyAdapter.html" title="class in org.apache.commons.math3.optim.nonlinear.scalar"><CODE>MultivariateFunctionPenaltyAdapter</CODE></A>.
<P>

<P>
<DL>
<DT><B>Since:</B></DT>
  <DD>2.2</DD>
<DT><B>Version:</B></DT>
  <DD>$Id: PowellOptimizer.java 1462503 2013-03-29 15:48:27Z luc $</DD>
</DL>
<HR>

<P>
<!-- =========== FIELD SUMMARY =========== -->

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<TH ALIGN="left"><B>Fields inherited from class org.apache.commons.math3.optim.<A HREF="../../../../../../../../org/apache/commons/math3/optim/BaseOptimizer.html" title="class in org.apache.commons.math3.optim">BaseOptimizer</A></B></TH>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><A HREF="../../../../../../../../org/apache/commons/math3/optim/BaseOptimizer.html#evaluations">evaluations</A>, <A HREF="../../../../../../../../org/apache/commons/math3/optim/BaseOptimizer.html#iterations">iterations</A></CODE></TD>
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<!-- ======== CONSTRUCTOR SUMMARY ======== -->

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<TD><CODE><B><A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/PowellOptimizer.html#PowellOptimizer(double, double)">PowellOptimizer</A></B>(double&nbsp;rel,
                double&nbsp;abs)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The parameters control the default convergence checking procedure.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/PowellOptimizer.html#PowellOptimizer(double, double, org.apache.commons.math3.optim.ConvergenceChecker)">PowellOptimizer</A></B>(double&nbsp;rel,
                double&nbsp;abs,
                <A HREF="../../../../../../../../org/apache/commons/math3/optim/ConvergenceChecker.html" title="interface in org.apache.commons.math3.optim">ConvergenceChecker</A>&lt;<A HREF="../../../../../../../../org/apache/commons/math3/optim/PointValuePair.html" title="class in org.apache.commons.math3.optim">PointValuePair</A>&gt;&nbsp;checker)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;This constructor allows to specify a user-defined convergence checker,
 in addition to the parameters that control the default convergence
 checking procedure.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/PowellOptimizer.html#PowellOptimizer(double, double, double, double)">PowellOptimizer</A></B>(double&nbsp;rel,
                double&nbsp;abs,
                double&nbsp;lineRel,
                double&nbsp;lineAbs)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Builds an instance with the default convergence checking procedure.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/PowellOptimizer.html#PowellOptimizer(double, double, double, double, org.apache.commons.math3.optim.ConvergenceChecker)">PowellOptimizer</A></B>(double&nbsp;rel,
                double&nbsp;abs,
                double&nbsp;lineRel,
                double&nbsp;lineAbs,
                <A HREF="../../../../../../../../org/apache/commons/math3/optim/ConvergenceChecker.html" title="interface in org.apache.commons.math3.optim">ConvergenceChecker</A>&lt;<A HREF="../../../../../../../../org/apache/commons/math3/optim/PointValuePair.html" title="class in org.apache.commons.math3.optim">PointValuePair</A>&gt;&nbsp;checker)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;This constructor allows to specify a user-defined convergence checker,
 in addition to the parameters that control the default convergence
 checking procedure and the line search tolerances.</TD>
</TR>
</TABLE>
&nbsp;
<!-- ========== METHOD SUMMARY =========== -->

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<B>Method Summary</B></FONT></TH>
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<TD ALIGN="right" VALIGN="top" WIDTH="1%"><FONT SIZE="-1">
<CODE>protected &nbsp;<A HREF="../../../../../../../../org/apache/commons/math3/optim/PointValuePair.html" title="class in org.apache.commons.math3.optim">PointValuePair</A></CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/PowellOptimizer.html#doOptimize()">doOptimize</A></B>()</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Performs the bulk of the optimization algorithm.</TD>
</TR>
</TABLE>
&nbsp;<A NAME="methods_inherited_from_class_org.apache.commons.math3.optim.nonlinear.scalar.MultivariateOptimizer"><!-- --></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
<TR BGCOLOR="#EEEEFF" CLASS="TableSubHeadingColor">
<TH ALIGN="left"><B>Methods inherited from class org.apache.commons.math3.optim.nonlinear.scalar.<A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/MultivariateOptimizer.html" title="class in org.apache.commons.math3.optim.nonlinear.scalar">MultivariateOptimizer</A></B></TH>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/MultivariateOptimizer.html#computeObjectiveValue(double[])">computeObjectiveValue</A>, <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/MultivariateOptimizer.html#getGoalType()">getGoalType</A>, <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/MultivariateOptimizer.html#optimize(org.apache.commons.math3.optim.OptimizationData...)">optimize</A>, <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/MultivariateOptimizer.html#parseOptimizationData(org.apache.commons.math3.optim.OptimizationData...)">parseOptimizationData</A></CODE></TD>
</TR>
</TABLE>
&nbsp;<A NAME="methods_inherited_from_class_org.apache.commons.math3.optim.BaseMultivariateOptimizer"><!-- --></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
<TR BGCOLOR="#EEEEFF" CLASS="TableSubHeadingColor">
<TH ALIGN="left"><B>Methods inherited from class org.apache.commons.math3.optim.<A HREF="../../../../../../../../org/apache/commons/math3/optim/BaseMultivariateOptimizer.html" title="class in org.apache.commons.math3.optim">BaseMultivariateOptimizer</A></B></TH>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><A HREF="../../../../../../../../org/apache/commons/math3/optim/BaseMultivariateOptimizer.html#getLowerBound()">getLowerBound</A>, <A HREF="../../../../../../../../org/apache/commons/math3/optim/BaseMultivariateOptimizer.html#getStartPoint()">getStartPoint</A>, <A HREF="../../../../../../../../org/apache/commons/math3/optim/BaseMultivariateOptimizer.html#getUpperBound()">getUpperBound</A></CODE></TD>
</TR>
</TABLE>
&nbsp;<A NAME="methods_inherited_from_class_org.apache.commons.math3.optim.BaseOptimizer"><!-- --></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
<TR BGCOLOR="#EEEEFF" CLASS="TableSubHeadingColor">
<TH ALIGN="left"><B>Methods inherited from class org.apache.commons.math3.optim.<A HREF="../../../../../../../../org/apache/commons/math3/optim/BaseOptimizer.html" title="class in org.apache.commons.math3.optim">BaseOptimizer</A></B></TH>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><A HREF="../../../../../../../../org/apache/commons/math3/optim/BaseOptimizer.html#getConvergenceChecker()">getConvergenceChecker</A>, <A HREF="../../../../../../../../org/apache/commons/math3/optim/BaseOptimizer.html#getEvaluations()">getEvaluations</A>, <A HREF="../../../../../../../../org/apache/commons/math3/optim/BaseOptimizer.html#getIterations()">getIterations</A>, <A HREF="../../../../../../../../org/apache/commons/math3/optim/BaseOptimizer.html#getMaxEvaluations()">getMaxEvaluations</A>, <A HREF="../../../../../../../../org/apache/commons/math3/optim/BaseOptimizer.html#getMaxIterations()">getMaxIterations</A>, <A HREF="../../../../../../../../org/apache/commons/math3/optim/BaseOptimizer.html#incrementEvaluationCount()">incrementEvaluationCount</A>, <A HREF="../../../../../../../../org/apache/commons/math3/optim/BaseOptimizer.html#incrementIterationCount()">incrementIterationCount</A></CODE></TD>
</TR>
</TABLE>
&nbsp;<A NAME="methods_inherited_from_class_java.lang.Object"><!-- --></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
<TR BGCOLOR="#EEEEFF" CLASS="TableSubHeadingColor">
<TH ALIGN="left"><B>Methods inherited from class java.lang.<A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</A></B></TH>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long, int)" title="class or interface in java.lang">wait</A></CODE></TD>
</TR>
</TABLE>
&nbsp;
<P>

<!-- ========= CONSTRUCTOR DETAIL ======== -->

<A NAME="constructor_detail"><!-- --></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
<TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor">
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<B>Constructor Detail</B></FONT></TH>
</TR>
</TABLE>

<A NAME="PowellOptimizer(double, double, org.apache.commons.math3.optim.ConvergenceChecker)"><!-- --></A><H3>
PowellOptimizer</H3>
<PRE>
public <B>PowellOptimizer</B>(double&nbsp;rel,
                       double&nbsp;abs,
                       <A HREF="../../../../../../../../org/apache/commons/math3/optim/ConvergenceChecker.html" title="interface in org.apache.commons.math3.optim">ConvergenceChecker</A>&lt;<A HREF="../../../../../../../../org/apache/commons/math3/optim/PointValuePair.html" title="class in org.apache.commons.math3.optim">PointValuePair</A>&gt;&nbsp;checker)</PRE>
<DL>
<DD>This constructor allows to specify a user-defined convergence checker,
 in addition to the parameters that control the default convergence
 checking procedure.
 <br/>
 The internal line search tolerances are set to the square-root of their
 corresponding value in the multivariate optimizer.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>rel</CODE> - Relative threshold.<DD><CODE>abs</CODE> - Absolute threshold.<DD><CODE>checker</CODE> - Convergence checker.
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</A></CODE> - if <code>abs &lt;= 0</code>.
<DD><CODE><A HREF="../../../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE> - if <code>rel &lt; 2 * Math.ulp(1d)</code>.</DL>
</DL>
<HR>

<A NAME="PowellOptimizer(double, double, double, double, org.apache.commons.math3.optim.ConvergenceChecker)"><!-- --></A><H3>
PowellOptimizer</H3>
<PRE>
public <B>PowellOptimizer</B>(double&nbsp;rel,
                       double&nbsp;abs,
                       double&nbsp;lineRel,
                       double&nbsp;lineAbs,
                       <A HREF="../../../../../../../../org/apache/commons/math3/optim/ConvergenceChecker.html" title="interface in org.apache.commons.math3.optim">ConvergenceChecker</A>&lt;<A HREF="../../../../../../../../org/apache/commons/math3/optim/PointValuePair.html" title="class in org.apache.commons.math3.optim">PointValuePair</A>&gt;&nbsp;checker)</PRE>
<DL>
<DD>This constructor allows to specify a user-defined convergence checker,
 in addition to the parameters that control the default convergence
 checking procedure and the line search tolerances.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>rel</CODE> - Relative threshold for this optimizer.<DD><CODE>abs</CODE> - Absolute threshold for this optimizer.<DD><CODE>lineRel</CODE> - Relative threshold for the internal line search optimizer.<DD><CODE>lineAbs</CODE> - Absolute threshold for the internal line search optimizer.<DD><CODE>checker</CODE> - Convergence checker.
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</A></CODE> - if <code>abs &lt;= 0</code>.
<DD><CODE><A HREF="../../../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE> - if <code>rel &lt; 2 * Math.ulp(1d)</code>.</DL>
</DL>
<HR>

<A NAME="PowellOptimizer(double, double)"><!-- --></A><H3>
PowellOptimizer</H3>
<PRE>
public <B>PowellOptimizer</B>(double&nbsp;rel,
                       double&nbsp;abs)</PRE>
<DL>
<DD>The parameters control the default convergence checking procedure.
 <br/>
 The internal line search tolerances are set to the square-root of their
 corresponding value in the multivariate optimizer.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>rel</CODE> - Relative threshold.<DD><CODE>abs</CODE> - Absolute threshold.
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</A></CODE> - if <code>abs &lt;= 0</code>.
<DD><CODE><A HREF="../../../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE> - if <code>rel &lt; 2 * Math.ulp(1d)</code>.</DL>
</DL>
<HR>

<A NAME="PowellOptimizer(double, double, double, double)"><!-- --></A><H3>
PowellOptimizer</H3>
<PRE>
public <B>PowellOptimizer</B>(double&nbsp;rel,
                       double&nbsp;abs,
                       double&nbsp;lineRel,
                       double&nbsp;lineAbs)</PRE>
<DL>
<DD>Builds an instance with the default convergence checking procedure.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>rel</CODE> - Relative threshold.<DD><CODE>abs</CODE> - Absolute threshold.<DD><CODE>lineRel</CODE> - Relative threshold for the internal line search optimizer.<DD><CODE>lineAbs</CODE> - Absolute threshold for the internal line search optimizer.
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</A></CODE> - if <code>abs &lt;= 0</code>.
<DD><CODE><A HREF="../../../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</A></CODE> - if <code>rel &lt; 2 * Math.ulp(1d)</code>.</DL>
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<A NAME="doOptimize()"><!-- --></A><H3>
doOptimize</H3>
<PRE>
protected <A HREF="../../../../../../../../org/apache/commons/math3/optim/PointValuePair.html" title="class in org.apache.commons.math3.optim">PointValuePair</A> <B>doOptimize</B>()</PRE>
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<DD>Performs the bulk of the optimization algorithm.
<P>
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<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../../../../org/apache/commons/math3/optim/BaseOptimizer.html#doOptimize()">doOptimize</A></CODE> in class <CODE><A HREF="../../../../../../../../org/apache/commons/math3/optim/BaseOptimizer.html" title="class in org.apache.commons.math3.optim">BaseOptimizer</A>&lt;<A HREF="../../../../../../../../org/apache/commons/math3/optim/PointValuePair.html" title="class in org.apache.commons.math3.optim">PointValuePair</A>&gt;</CODE></DL>
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<DT><B>Returns:</B><DD>the point/value pair giving the optimal value of the
 objective function.</DL>
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